How do you solve the system of equations 5x6y=9 and 5x+2y=19?

1 Answer
Mar 22, 2017

The final solution is x=3310 and y=114 using substitution to solve the system of equations.

Explanation:

We notice that in both equations, there is a 5x. This suggests using elimination to solve the equations.

Since the equations have the same term with one of the variables (5x), we can subtract the two equations to eliminate x and leave one equation to solve for y. Subtracting the first equation from the second and solving gives us:

2y(6y)=199

8y=10

y=54

Now, we can simply substitute the value of y into any of the 2 equations to solve for x. Substituting into the second equation and solving, we get:

5x+2(54)=19

5x+52=19

5x=332

x=3310

So, the answer to the equations is x=3310 and y=114.